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What is the Least Common Multiple of 63953 and 63957?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 63953 and 63957 is 4090242021.

LCM(63953,63957) = 4090242021

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Least Common Multiple of 63953 and 63957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63953 and 63957, than apply into the LCM equation.

GCF(63953,63957) = 1
LCM(63953,63957) = ( 63953 × 63957) / 1
LCM(63953,63957) = 4090242021 / 1
LCM(63953,63957) = 4090242021

Least Common Multiple (LCM) of 63953 and 63957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63953 and 63957. First we will calculate the prime factors of 63953 and 63957.

Prime Factorization of 63953

Prime factors of 63953 are 31, 2063. Prime factorization of 63953 in exponential form is:

63953 = 311 × 20631

Prime Factorization of 63957

Prime factors of 63957 are 3, 21319. Prime factorization of 63957 in exponential form is:

63957 = 31 × 213191

Now multiplying the highest exponent prime factors to calculate the LCM of 63953 and 63957.

LCM(63953,63957) = 311 × 20631 × 31 × 213191
LCM(63953,63957) = 4090242021